Mathematics, 16.07.2019 15:40 markthecow

1. rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. what percent is equivalent to two-thirds?

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Answer from: Blakemiller2020

Answers:
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1) [B]: "12.5%" .
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2) [B]: "70.9%" .
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3) "66 $\frac{2}{3}$ %" ; or, "66.6666... % " ; or, round to: "66.667 %" ;
or; round to: "66.67%" .
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Explanation:
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1) "Rename one-eight as a percent".

→ $\frac{1}{8}$ = 1 ÷ 8 = 0.125 ;

→ $\frac{x}{100}$ = 0.125 ;

→ x = 0.125 * 100 = {move the decimal point in the number, "0.125"; two spaces forward, since we are MULTIPLYING, by "100" (which has 2 zeros);
→ x = 12 * 100 = 12.5 .

So: → $\frac{12.5}{100}$ = 12.5 % ; since "12.5 % = 12.5/100 "
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Other method:
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→ $\frac{x}{100}$ = $\frac{1}{8}$ ;

→ x = 100 * $\frac{1}{8}$ ;

→ x = $\frac{100}{1}$ * $\frac{1}{8}$ ;

=    $\frac{100*1}{1*8}$ ;

=    $\frac{100}{8}$ ;

→ x = 12.5 ;

→ $\frac{x}{100}$ = $\frac{12.5}{100}$ = 12.5% ;

→ 12.5 % = $\frac{12.5}{100}$ ;
= ?

→ {Take the "12.5" & move the decimal backward TWO (2) places, since we are "dividing" by "100" (which has 2 "zeros") ;

= 0.125 = $\frac{125}{100}$ = $\frac{1}{8}$ .
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2) "Rename "0.709" as a percent."

===> $\frac{x}{100}$ = 0.709 ;

  → x = 0.709 * 100 = ? ;

Note: Take the "0.709" ; & move the decimal place "2 (TWO)" spaces forward, since are MULTIPLYING by "100" (which has 2 zeros); to get:
→ x = 70.9 ;

  → x = 0.709 * 100 = 70.9 ;

→ $\frac{x}{100}$ =   $\frac{70.9}{100}$ = 70.9% ;
  → which is: Answer choice: [B] .

→ 70.9% = $\frac{70.9}{100}$ = ? ;

{take the "70.9" ; and move the decimal point backwards TWO (2) decimal places; since we are DIVIDING by "100" (which has "2 (two) zeros") ;

→ 70.9% = $\frac{70.9}{100}$ = 0.709 .
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3) What percent is equivalent to two-thirds?
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  → $\frac{x}{100}$ = $\frac{2}{3}$ ;

x = $\frac{2}{3}$ *100 ;

= $\frac{2}{3}$ * $\frac{100}{1}$ ;

= $\frac{2*100}{3*1}$ ;

= $\frac{200}{3}$ ;

= 66 $\frac{2}{3}$ ;

→ { 66 $\frac{2}{3}$ } / 100 = 66 $\frac{2}{3}$ % ;
or, write as: 66.666666....% ; or, round to:
66.67%
{since: " $\frac{2}{3}$ " = 2 ÷ 3 = 0.66666..." .
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Answer from: Quest

step-by-step explanation:

Answer from: Quest

23001 hope you like my answer if so mark as brainliest

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1. rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. rename .709 as a percent. (1...

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